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Geometry dividers are used for transferring measurements from one part of the drawing to another. Dividers differ from compasses in that they don't "draw" anything. There is no pencil or pen on the end of them, just two sharp points. When people used to draw things by hand dividers were used to transfer measurements and they take their name from dividing a line into parts.
One sets the width of the divider to an approximate size and then "walks" the divider down the line. A little fine adjustment is then done to make sure that the last step ends up at the end of the line and then you can use the points to mark the divisions.
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